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G-CO.8 Warmup M1-043-A12-V04

Explain ASA, SAS, and SSS triangle congruence criteria from rigid-motion congruence.

Detect the first invalid claim in a triangle congruence proof

Problem

Here are the proof claims, in order: \(\angle~M~=~\angle~R\) given, \(\angle~N~=~\angle~S\) given, \(MP~=~RT\) given, \(\triangle~MNP~\cong~\triangle~RST\) by \(ASA\). Identify the first invalid claim.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-CO.8
Category
Geometry
Domain
Congruence
Objective
Explain ASA, SAS, and SSS triangle congruence criteria from rigid-motion congruence.
Problem type
Detect the first invalid claim in a triangle congruence proof